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Shell corrections of finite, spherical, one-body potentials are analyzed using a smoothing procedure which properly accounts for the contribution from the particle continuum, i.e., unbound states. Since the plateau condition for the…

Nuclear Theory · Physics 2008-11-26 T. Vertse , A. T. Kruppa , R. J. Liotta , W. Nazarewicz , N. Sandulescu , T. R. Werner

Mass calculations carried out by Strutinsky's shell correction method are based on the notion of smooth single particle level density. The smoothing procedure is always performed using curvature correction. In the presence of curvature…

Nuclear Theory · Physics 2014-11-20 P. Salamon , A. T. Kruppa

A new method is presented for calculation of the shell correction with the inclusion of the continuum part of the spectrum. The smoothing function used has a finite energy range in contrast to the Gaussian shape of the Strutinski method.…

Nuclear Theory · Physics 2014-11-20 P. Salamon , A. T. Kruppa , T. Vertse

A numerical method close to the Strutinsky procedure (but better) is proposed to calculate the deformation energy of nuclei. Quadrupole (triaxial) deformations are considered. Theoretical as well as practical aspects of the method are…

Nuclear Theory · Physics 2015-06-04 B. Mohammed-Azizi

The thermal evolution of the shell correction energy is investigated for deformed nuclei using Strutinsky prescription in a self-consistent relativistic mean-field framework. For temperature independent single-particle states corresponding…

Nuclear Theory · Physics 2009-11-07 B. K. Agrawal , Tapas Sil , S. K. Samaddar , J. N. De

The single-particle spectrum obtained from the relativistic mean field (RMF) theory is used to extract the shell correction energy with the Strutinsky method. Considering the delicate balance between the plateau condition in the Strutinsky…

Nuclear Theory · Physics 2010-11-02 Y. F. Niu , H. Z. Liang , J. Meng

A new method of calculating unique values of ground-state shell corrections for finite depth potentials is shown, which makes use of bound states only. It is based on (i) a general formulation of extracting the smooth part from any…

Nuclear Theory · Physics 2009-11-10 Alexis Diaz-Torres

A shell-correction method is applied to nuclei far from the beta stability line and its suitability to describe effects of the particle continuum is discussed. The sensitivity of predicted locations of one- and two-particle drip lines to…

Nuclear Theory · Physics 2008-11-26 W. Nazarewicz , T. R. Werner , J. Dobaczewski

We investigate the shell structure of bubble nuclei in simple phenomenological shell models and study their binding energy as a function of the radii and of the number of neutron and protons using Strutinsky's method. Shell effects come…

Nuclear Theory · Physics 2009-01-23 Klaus Dietrich , Krzysztof Pomorski

Examples of the change of neutron shell-structure in both weakly-bound and resonant neutron one-particle levels in nuclei towards the neutron drip line are exhibited. It is shown that the shell-structure change due to the weak binding may…

Nuclear Theory · Physics 2010-05-07 Ikuko Hamamoto

The Woods-Saxon-Strutinsky method (the microscopic-macroscopic method) combined with Kruppa's prescription for positive energy levels, which is necessary to treat neutron rich nuclei, is studied to clarify the reason for its success and to…

Nuclear Theory · Physics 2014-11-21 Naoki Tajima , Yoshifumi R. Shimizu , Satoshi Takahara

Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and Relativistic Mean-Field theories. Due to the presence of low-lying proton…

Nuclear Theory · Physics 2009-10-31 A. T. Kruppa , M. Bender , W. Nazarewicz , P. -G. Reinhard , T. Vertse , S. Cwiok

Potential energy surfaces of even-even superheavy nuclei are evaluated within the macroscopic-microscopic approximation. A very rapidly converging analytical Fourier-type shape parametrization is used to describe nuclear shapes throughout…

The semi-classical Wigner-Kirkwood $\hbar$ expansion method is used to calculate shell corrections for spherical and deformed nuclei. The expansion is carried out up to fourth order in $\hbar$. A systematic study of Wigner-Kirkwood averaged…

Nuclear Theory · Physics 2010-12-23 A. Bhagwat , X. Viñas , M. Centelles , P. Schuck , R. Wyss

The evolution of single-particle energies with varying isospin asymmetry in the shell model is an important issue when predicting changes in the shell structure for exotic nuclei. In many cases pseudospin partner levels, that are almost…

Nuclear Theory · Physics 2008-11-26 S. Typel

We have derived a rigorous theoretical proof of the Strutinsky energy theorem. This proof not only provides a proper interpretation of the shell-correction decomposition, resolving decades of confusion, but also lays a foundation for…

Nuclear Theory · Physics 2026-05-13 Chong Qi

The particle-number-conserving (PNC) method in the framework of the deformed shell model (DSM) is employed to study the properties of the newly discovered short-lived neutron-deficient nucleus 224Np and its {\alpha}-decay. The calculated…

Nuclear Theory · Physics 2025-04-23 Xiao-Tao He , Kun Huang , T. M. Shneidman , N. V. Antonenko , Jun Zhang , Hong-qiang You

The scission of a nucleus into two fragments is at present the least understood part of the fission process, though the most important for the formation of the observables. To investigate the potential energy landscape at the largest…

Nuclear Theory · Physics 2013-04-01 Fedir Ivanyuk

Quantum stabilization of superheavy elements is quantified in terms of the shell-correction energy. We compute the shell correction using self-consistent nuclear models: the non-relativistic Skyrme-Hartree-Fock approach and the relativistic…

Nuclear Theory · Physics 2009-11-07 M. Bender , W. Nazarewicz , P. -G. Reinhard

Shell corrections are important in the determination of nuclear ground-state masses and shapes. Although general arguments favor a regular single-particle dynamics, symmetry-breaking and the presence of chaotic layers cannot be excluded.…

Nuclear Theory · Physics 2009-11-07 O. Bohigas , P. Leboeuf
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